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Basic Algebra : Graphs

Problems #'s 12, 16, 18, 20, 26, 28, 30, 32, 46 these I need help completing

Find the slope and y-intercept of the line represented by each of the following equations.

12. 2x - y = 6

Write the equation of the line with given slope and y-intercept. Then graph each line using the slope and y-intercept.

16. Slope: -2; y-intercept: (0, 4)

18. Slope: 5; y-intercept: (0, _2)

20. Slope: ; y-intercept: (0, 8)

In the following exercises, match the graph with one of the following equations.

(a) y = 2x (b) y = x + 1 (c) y = -x + 3 (d) y = 2x + 1

(e) y = 3x - 2 (f ) y = x + 1 (g) y = x + 1 (h) y = -4x

26.

28.

30.

32.

46. Technology. Driving down a mountain, Tom finds that he has descended 1800 ft in elevation by the time he is 3.25 mi horizontally away from the top of the mountain. Find the slope of his descent to the nearest hundredth.

Next problems I need help with is # 16, 20, 28

16. Find the slope of any line perpendicular to the line through points (0, 5) and
(-3, -4)

Use the concept of slope to determine if the given figure is a parallelogram or a rectangle.

20.

28. Geometry. Floor plans for a building have the four corners of a room located at the points (2, 3), (11, 6), (-3, 18), and (8, 21given in exercise 27, determine whether the side through the points (2, 3) and (11, 6) is perpendicular to the side through the points (2, 3) and (-3, 18).

Next problems I need help with are #'s 6, 20, 24, 36, 40, 52

Write the equation of the line passing through each of the given points with the indicated slope. Give your results in slope-intercept form, where possible.

6. (0, 5), m =

Write the equation of the line passing through each of the given pairs of points. Write your result in slope-intercept form, where possible.

20. (-1, 3) and (4, -2)

24. (2, -3) and (2, 4)

Write the equation of the line L satisfying the given geometric conditions.

36. L has y-intercept (0, -3) and is parallel to the line with equation y = x+ 1

40. L has y-intercept (0, 2) and is perpendicular to the line with equation 2x - 3y = 6.

52. Business and finance. In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost $10,000 to produce and that 300 items will cost $22,000 to produce. Find the equation that relates C and x.

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Graphing problems are solved. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.

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